20.-/7 points larlinalg8 7.3.058. consider the following matrix -1 0-1 0 1 0 1 01 0 a1 0 1 0-1 0-1 01 0 1 01 0 1 use this list of theorems to answer the following s (a) is a symmetric? explain o yes, because a a yes, because a # a o no, because a a. no, because a #a'. (b) is a diagonalizable? explain. (select all that apply.) yes, by the real spectral theorem yes, by the property of symmetric matrices yes, by the fundamental theorem of symmetric matrices no, by the real spectral theorem no, by the property of symmetric matrices o no, by the fundamental theorem of symmetric matrices (c) are the eigenvalues of a real? explain. (select all that apply.) yes, by the real spectral theorem yes, by the property of symmetric matrices yes, by the fundamental theorem of symmetric matrices no, by the real spectral theorem no, by the property of symmetric matrices o no, by the fundamental theorem of symmetric matrices

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

$79500

step-by-step explanation:

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

if farmer matt works for 8 hours a day, how many days will it take him to completely plant 12 rows of crops? each batch of cookies needs 3/4 cups of sugar.

step-by-step explanation: